A. P. Karmazin, D. R. Mukhutdinova, “Removable sets and the distribution of intrinsic boundary components under quasi-isometries of domains in <nobr>$R^n$</nobr>”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011, Number 1(13),Pages <nobr>9

MATHEMATICS

Removable sets and the distribution of intrinsic boundary components under quasi-isometries of domains in $R^n$

A. P. Karmazin, D. R. Mukhutdinova

Surgut State University

Abstract: The paper deals with various cases and conditions for removability of sets under quasi-isometrical maps. The distribution of intrinsic boundary components of domains in $R^n$ is studied.

Keywords: quasi-isometrical maps, intrinsic metrics, infinitely connected domains, removed sets, distribution of boundary components.

UDC: 515.125+517.5

Accepted: December 14, 2010